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Finding the Fourth Proportional to 5,123.44, 7,684.29 and 1,424.68

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Solution

The fourth proportional to 5,123.44, 7,684.29 and 1,424.68 is: 2,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.44 : 7,684.29 = 1,424.68 : x
  2. Step 2: Convert to fraction form
    5,123.44/7,684.29 = 1,424.68/x
  3. Step 3: Cross multiply
    5,123.44x = 7,684.29 × 1,424.68
  4. Step 4: Simplify right side
    5,123.44x = 10,947,654.28
  5. Step 5: Solve for x
    x = 10,947,654.28/5,123.44
  6. Step 6: Final answer
    x = 2,136.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.